MU:MU10929 Mathematical Analysis I - Exer - Course Information

MU10929 Mathematical Analysis I - Exercises

Extent and Intensity

0/2/0. 2 credit(s). Type of Completion: z (credit).

Teacher(s)

doc. RNDr. Michal Málek, Ph.D. (seminar tutor)
RNDr. Lenka Rucká, Ph.D. (seminar tutor)

Guaranteed by

doc. RNDr. Marta Štefánková, Ph.D.
Mathematical Institute in Opava

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

• Applied Mathematics in Risk Management (programme MU, B1101)
• Computer Science and Technology (programme FPF, B1801 Inf)
• Mathematical Methods in Economics (programme MU, B1101)

Course objectives (in Czech)

Předmět je určen k praktickému procvičení a prohloubení znalostí získaných v předmětu Matematická analýza I.

Syllabus

• 1. Sets, relations, mappings.
  2. Real numbers.
  3. Basic topological notions.
  4. Sequences.
  5. Limits of sequences.
  6. Real functions of a single variable.
  7. Contnuity of a function.
  8. Derivative.
  9. Extrema of functions.
  10. Taylor series.

Literature

recommended literature
• L. Zajíček. Vybrané úlohy z matematické analýzy. Matfyzpress, Praha, 2000. info
• A. P. Mattuck. Introduction to Analysis. Prentice Hall, New Jersey, 1999. info
• M. Krupka. Pomocné učebny texty. MÚ SU, Opava, 1999. info
• R. Plch. Příklady z matematické analýzy: Diferenciální rovnice. MU, Brno, 1995. info
• J. Štefánek. Matematická analýza I. MÚ SU, Opava, 1993. info
• V. Novák. Diferenciální počet v R. MU, Brno, 1989. info
• S. I. Grossman. Calculus. Academic Press, 1977. info
• V. Jarník. Diferenciální počet I. ČSAV, Praha, 1963. info

Language of instruction

Czech

Further comments (probably available only in Czech)

The course can also be completed outside the examination period.

• Enrolment Statistics (Winter 2014, recent)
  
• Permalink: https://is.slu.cz/course/sumu/winter2014/MU10929